Answer:
3rd answer option (1.6, 1.4)
Explanation:
the slope of the lines is different.
to see we transform the equations to the regular slope-intercept form
y = ax + b
with "a" being the slope and "b" being the y-intercept (the y value when x = 0).
1.5x + 0.2y = 2.68
0.2y = -1.5x + 2.68
y = -1.5x/0.2 + 2.68/0.2 = -7.5x + 13.4
1.6x + 0.3y = 2.98
0.3y = -1.6x + 2.98
y = -1.6x/0.3 + 2.98/0.3 = -5.33333...x + 9.93333...
-7.5 is not -5.3333...
so, the lines are not parallel nor overlap at all points.
therefore, they intersect at a point.
(1.6, 1.4) ?
the equations must remain true when using the coordinates :
1.5×1.6 + 0.2×1.4 = 2.68
1.6×1.6 + 0.3×1.4 = 2.98
2.4 + 0.28 = 2.68
2.68 = 2.68 correct
2.56 + 0.42 = 2.98
2.98 = 2.98 correct
yes, they intersect at (1.6, 1.4).
for (3.1, 0.5) already the x coordinate is way too large.
1.5×3.1 or 1.6×3.1 are already by themselves much larger than 2.68 or 2.98.